AP calculus AB

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A balloon is being filled with air at a rate of 3 cubic meters per minute. Find the rate at which the radius is changing when the volume is 36 pi cubic meters.

  • AP calculus AB -

    same deal

    surface area = (4/3) pi r^2

    V = 4 pi r^3
    so r = (36/4pi)^(1/3)

    dV/dt = 3 = (4/3)pi r^2 (dr/dt)

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